In real life, the restaurant was named "Luna" and was located at 3531 White Plains Rd. It went out of business shortly after "The Godfather" was filmed.
Our Signor Vitelli took a field trip up there back in 2006 and posted some pictures. It is now a fabric and notions store.
BTW - If any of you Bronx guys has some free time, I'd appreciate if you could stop off at one of the local libraries and look up the restaurant in one of the old telephone directories. The 1970 directory, for instance, should have the name, address and phone number listed.
Welcome to the boards, hdmkom.